What is the Greatest Common Factor of 29796 and 29813?

Greatest common factor (GCF) of 29796 and 29813 is 1.

GCF(29796,29813) = 1

We will now calculate the prime factors of 29796 and 29813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29796 and 29813.

How to find the GCF of 29796 and 29813?

We will first find the prime factorization of 29796 and 29813. After we will calculate the factors of 29796 and 29813 and find the biggest common factor number .

Step-1: Prime Factorization of 29796

Prime factors of 29796 are 2, 3, 13, 191. Prime factorization of 29796 in exponential form is:

29796 = 2² × 3¹ × 13¹ × 191¹

Step-2: Prime Factorization of 29813

Prime factors of 29813 are 7, 4259. Prime factorization of 29813 in exponential form is:

29813 = 7¹ × 4259¹

Step-3: Factors of 29796

List of positive integer factors of 29796 that divides 29796 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 191, 382, 573, 764, 1146, 2292, 2483, 4966, 7449, 9932, 14898

Step-4: Factors of 29813

List of positive integer factors of 29813 that divides 29796 without a remainder.

1, 7, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29796 and 29813. The biggest common factor number is the GCF number.
So the greatest common factor 29796 and 29813 is 1.

Also check out the Least Common Multiple of 29796 and 29813